random_sample_n
random_sample_n
Category: algorithms
Component type: function
Prototype
Random_sample_n is an overloaded name; there are actually two
random_sample_n functions.
template <class ForwardIterator, class OutputIterator, class Distance>
OutputIterator random_sample_n(ForwardIterator first, ForwardIterator last,
OutputIterator out, Distance n)
template <class ForwardIterator, class OutputIterator, class Distance,
class RandomNumberGenerator>
OutputIterator random_sample_n(ForwardIterator first, ForwardIterator last,
OutputIterator out, Distance n,
RandomNumberGenerator& rand)
Description
Random_sample_n randomly copies a sample of the elements from
the range [first, last) into the range [out, out + n).
Each element in the input range appears at most once in the output
range, and samples are chosen with uniform probability. [1]
Elements in the output range appear in the same relative order
as their relative order within the input range. [2]
Random_sample copies m elements from [first, last)
to [out, out + m), where m is min(last - first, n).
The return value is out + m.
The first version uses an internal random number generator, and the
second uses a Random Number Generator, a special kind of
function object, that is explicitly passed as an argument.
Definition
Defined in the standard header algorithm, and in the nonstandard
backward-compatibility header algo.h.
This function is an SGI extension; it is not part of the C++
standard.
Requirements on types
For the first version:
ForwardIterator is a model of Forward Iterator
OutputIterator is a model of Output Iterator
ForwardIterator's value type is convertible to
a type in OutputIterator's set of value types.
Distance is an integral type that is large enough to
represent the value last - first.
For the second version:
ForwardIterator is a model of Forward Iterator
OutputIterator is a model of Output Iterator
RandomNumberGenerator is a model of Random Number Generator
Distance is an integral type that is large enough to
represent the value last - first.
ForwardIterator's value type is convertible to
a type in OutputIterator's set of value types.
Distance is convertible to RandomNumberGenerator's argument type.
Preconditions
[first, last) is a valid range.
n is nonnegative.
[first, last) and [out, out + n) do not overlap.
There is enough space to hold all of the elements being copied.
More formally, the requirement is that
[out, out + min(n, last - first)) is a valid range.
last - first is less than rand's maximum value.
Complexity
Linear in last - first. At most last - first elements from the
input range are examined, and exactly min(n, last - first) elements
are copied to the output range.
Example
int main()
{
const int N = 10;
int A[] = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10};
random_sample_n(A, A+N, ostream_iterator<int>(cout, " "), 4);
// The printed value might be 3 5 6 10,
// or any of 209 other possibilities.
}
Notes
[1]
This is "Algorithm S" from section 3.4.2 of Knuth
(D. E. Knuth, The Art of Computer
Programming. Volume 2: Seminumerical Algorithms, second edition.
Addison-Wesley, 1981). Knuth credits C. T. Fan, M. E. Muller, and
I. Rezucha (1962) and T. G. Jones (1962).
Note that there are N! / n! / (N - n)! ways of selecting a sample of
n elements from a range of N elements. Random_sample_n yields
uniformly distributed results; that is, the probability of selecting
any particular element is n / N, and the probability of any
particular sampling is n! * (N - n)! / N!.
[2]
In contrast, the random_sample algorithm does not preserve
relative ordering within the input range.
The other major distinction between the two algorithms is that
random_sample_n requires its input range to be Forward Iterators
and only requires its output range to be Output Iterators, while
random_sample only requires its input range to be
Input Iterators and requires its output range to be
Random Access Iterators.
See also
random_shuffle, random_sample, Random Number Generator
Copyright ©
1999 Silicon Graphics, Inc. All Rights Reserved.
TrademarkInformation
Wyszukiwarka
Podobne podstrony:
random sampleTOEIC Listening and Reading Sample Testshortcuts sampleSampleLog sampleDragonfly (sample)Random?ts of Kindnessbaby sampler3 misiabeKewlPack #2 SamplesFirst 2015 Listening sample paperdxf sampleCondor (sample)randomsampleEmbedCodewięcej podobnych podstron